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Question 400:



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I'm not familiar with a standard general score conversion formula, perhaps this pertains to a particular set of data or scores such as the SAT or ACT. It likely won't be the same as the z-score formula, but will have many properties in common (like the ability to get percentiles of the distribution from the raw score).

Converting from a standardized score to another requires knowing the mean and standard deviation of each population or some known conversion, which would again require knowing  a bit more about which data you are talking about.  For example IQ scores are often scaled with a mean of 100 and standard deviation of 16. The GRE and SAT subsections are usually scaled with a mean of 500 and a standard deviation that varies with the type of test (verbal, quantitative).

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